42638520 has 32 divisors (see below), whose sum is σ = 127915920. Its totient is φ = 11370240.

The previous prime is 42638513. The next prime is 42638521. The reversal of 42638520 is 2583624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42638521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177541 + ... + 177780.

Almost surely, 2^42638520 is an apocalyptic number.

42638520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42638520 is an abundant number, since it is smaller than the sum of its proper divisors (85277400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42638520 is a wasteful number, since it uses less digits than its factorization.

42638520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355335 (or 355331 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42638520 is about 6529.8177616224. The cubic root of 42638520 is about 349.3553303101.

The spelling of 42638520 in words is "forty-two million, six hundred thirty-eight thousand, five hundred twenty".